A NEW CONSTRUCTION OF MULTIWAVELETS WITH COMPOSITE DILATIONS

Abstract

Consider an affine system  A_ABwith composite dilations  D_a,D in which  _anand  _.It can be made an orthonormal AB multiwavelet   or a parsval frame AB -wavelet  ,by choosing appropriate sets A  and B .In this paper ,we constructe an orthonormal AB-multiwavelet that arises from AB- multiresolution analysis Our construction is useful since the group Bis shear group.More generally, we give a parsval frame AB-wavelet.